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Finding the Third Proportional to 269,288 and 567,736

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Solution

The third proportional to 269,288 and 567,736 is: 1,196,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,288 : 567,736 = 567,736 : x
  2. Step 2: Convert to fraction form
    269,288/567,736 = 567,736/x
  3. Step 3: Cross multiply
    269,288x = 567,736 × 567,736
  4. Step 4: Simplify right side
    269,288x = 322,324,165,696
  5. Step 5: Solve for x
    x = 322,324,165,696/269,288
  6. Step 6: Final answer
    x = 1,196,949.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.